Least Common Multiple of 874/968, 7962/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 874/968, 7962/398 quickly i.e. 1739697 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 874/968, 7962/398 is 1739697.

LCM(874/968, 7962/398) = 1739697

LCM of 874/968, 7962/398

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 874/968,7962/398

Given numbers are 874/968,7962/398

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 874,7962

Least Common Multiple of Numerators i.e. LCM of 874,7962 is 3479394.

GCF of Denominators means GCF of 968,398 as per the given fractions.

GCF of 968,398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 874,7962

LCM of Fractions 874/968,7962/398 is 1739697

2 874, 7962
437, 3981

∴ So the LCM of the given numbers is 2 x 437 x 3981 = 3479394

Least Common Multiple of 874,7962 with GCF Formula

Least Common Multiple of 874,7962 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 874,7962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,7962) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(874,7962) x common factors =2 x 1 = 2

LCM(874,7962) = ( 874 × 7962 ) / 2

LCM(874,7962) = 6958788 / 2

LCM(874,7962) = 3479394


Lets's calculate GCF of 968,398

2 968, 398
484, 199

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3479394/2

Therefore the LCM of Fractions 874/968,7962/398 is 1739697

Greatest Common Factor of 968,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,398 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 968,398 . The biggest common factor number is the GCF number.
So the greatest common factor 968,398 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 874/968, 7962/398

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 874/968, 7962/398?

Answer: LCM of Numerators as per given numbers 874/968, 7962/398 is

LCM of Numerators i.e. for 874,7962 is 3479394

GCF of denominators i.e. for 968,398 is 2.

Thus, LCM of Fractions is 1739697.Finally, LCM of Fractions for 874/968, 7962/398 is 1739697.